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Simplifying 5(2x + 6) = 38 + -3(5x + -6) Reorder the terms: 5(6 + 2x) = 38 + -3(5x + -6) (6 * 5 + 2x * 5) = 38 + -3(5x + -6) (30 + 10x) = 38 + -3(5x + -6) Reorder the terms: 30 + 10x = 38 + -3(-6 + 5x) 30 + 10x = 38 + (-6 * -3 + 5x * -3) 30 + 10x = 38 + (18 + -15x) Combine like terms: 38 + 18 = 56 30 + 10x = 56 + -15x Solving 30 + 10x = 56 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 30 + 10x + 15x = 56 + -15x + 15x Combine like terms: 10x + 15x = 25x 30 + 25x = 56 + -15x + 15x Combine like terms: -15x + 15x = 0 30 + 25x = 56 + 0 30 + 25x = 56 Add '-30' to each side of the equation. 30 + -30 + 25x = 56 + -30 Combine like terms: 30 + -30 = 0 0 + 25x = 56 + -30 25x = 56 + -30 Combine like terms: 56 + -30 = 26 25x = 26 Divide each side by '25'. x = 1.04 Simplifying x = 1.04
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